Hi All,

If you spot the Quadratic expression in the prompt, then you can use an Algebra approach to get to the correct answer. This question can also be solved with a combination of TESTing VALUES and Number Properties.

We're asked if K^2 + K - 2 > 0. This is a YES/NO question

Fact 1: K < 1

IF....

K = 0

0^2 + 0 - 2 = -2 and the answer to the question is NO.

IF...

K = -3

(-3)^2 -3 - 2 = 4 and the answer to the question is YES.

Fact 1 is INSUFFICIENT

Fact 2: K < -2

With this Fact, we have an interesting "limit" issue.

Even though it's not permitted....IF K = -2, then

(-2)^2 - 2 + 2 = 0 which is NOT > 0

As K becomes "more negative" (re. -2.1, -3, -100, etc.)....

K^2 creates a "bigger positive" than (+K - 2) creates a "negative"

eg.

K = -3

(-3)^2 = +9 vs. (-3 - 2)

K = -2.1

(-2.1)^2 = +4.41 vs. (-2.1 - 2)

Etc.

Thus, the result of the calculation will ALWAYS be greater than 0 and the answer to the question is ALWAYS YES.

Fact 2 is SUFFICIENT.

Final Answer:

GMAT assassins aren't born, they're made,

Rich

_________________

# Rich Cohen

Co-Founder & GMAT Assassin

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************